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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.geometry.euclidean.oned;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import java.text.NumberFormat;<a name="line.19"></a>
<FONT color="green">020</FONT>    <a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.exception.MathArithmeticException;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.geometry.Space;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.geometry.Vector;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.util.MathUtils;<a name="line.26"></a>
<FONT color="green">027</FONT>    <a name="line.27"></a>
<FONT color="green">028</FONT>    /** This class represents a 1D vector.<a name="line.28"></a>
<FONT color="green">029</FONT>     * &lt;p&gt;Instances of this class are guaranteed to be immutable.&lt;/p&gt;<a name="line.29"></a>
<FONT color="green">030</FONT>     * @version $Id: Vector1D.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.30"></a>
<FONT color="green">031</FONT>     * @since 3.0<a name="line.31"></a>
<FONT color="green">032</FONT>     */<a name="line.32"></a>
<FONT color="green">033</FONT>    public class Vector1D implements Vector&lt;Euclidean1D&gt; {<a name="line.33"></a>
<FONT color="green">034</FONT>    <a name="line.34"></a>
<FONT color="green">035</FONT>        /** Origin (coordinates: 0). */<a name="line.35"></a>
<FONT color="green">036</FONT>        public static final Vector1D ZERO = new Vector1D(0.0);<a name="line.36"></a>
<FONT color="green">037</FONT>    <a name="line.37"></a>
<FONT color="green">038</FONT>        /** Unit (coordinates: 1). */<a name="line.38"></a>
<FONT color="green">039</FONT>        public static final Vector1D ONE  = new Vector1D(1.0);<a name="line.39"></a>
<FONT color="green">040</FONT>    <a name="line.40"></a>
<FONT color="green">041</FONT>        // CHECKSTYLE: stop ConstantName<a name="line.41"></a>
<FONT color="green">042</FONT>        /** A vector with all coordinates set to NaN. */<a name="line.42"></a>
<FONT color="green">043</FONT>        public static final Vector1D NaN = new Vector1D(Double.NaN);<a name="line.43"></a>
<FONT color="green">044</FONT>        // CHECKSTYLE: resume ConstantName<a name="line.44"></a>
<FONT color="green">045</FONT>    <a name="line.45"></a>
<FONT color="green">046</FONT>        /** A vector with all coordinates set to positive infinity. */<a name="line.46"></a>
<FONT color="green">047</FONT>        public static final Vector1D POSITIVE_INFINITY =<a name="line.47"></a>
<FONT color="green">048</FONT>            new Vector1D(Double.POSITIVE_INFINITY);<a name="line.48"></a>
<FONT color="green">049</FONT>    <a name="line.49"></a>
<FONT color="green">050</FONT>        /** A vector with all coordinates set to negative infinity. */<a name="line.50"></a>
<FONT color="green">051</FONT>        public static final Vector1D NEGATIVE_INFINITY =<a name="line.51"></a>
<FONT color="green">052</FONT>            new Vector1D(Double.NEGATIVE_INFINITY);<a name="line.52"></a>
<FONT color="green">053</FONT>    <a name="line.53"></a>
<FONT color="green">054</FONT>        /** Serializable UID. */<a name="line.54"></a>
<FONT color="green">055</FONT>        private static final long serialVersionUID = 7556674948671647925L;<a name="line.55"></a>
<FONT color="green">056</FONT>    <a name="line.56"></a>
<FONT color="green">057</FONT>        /** Abscissa. */<a name="line.57"></a>
<FONT color="green">058</FONT>        private final double x;<a name="line.58"></a>
<FONT color="green">059</FONT>    <a name="line.59"></a>
<FONT color="green">060</FONT>        /** Simple constructor.<a name="line.60"></a>
<FONT color="green">061</FONT>         * Build a vector from its coordinates<a name="line.61"></a>
<FONT color="green">062</FONT>         * @param x abscissa<a name="line.62"></a>
<FONT color="green">063</FONT>         * @see #getX()<a name="line.63"></a>
<FONT color="green">064</FONT>         */<a name="line.64"></a>
<FONT color="green">065</FONT>        public Vector1D(double x) {<a name="line.65"></a>
<FONT color="green">066</FONT>            this.x = x;<a name="line.66"></a>
<FONT color="green">067</FONT>        }<a name="line.67"></a>
<FONT color="green">068</FONT>    <a name="line.68"></a>
<FONT color="green">069</FONT>        /** Multiplicative constructor<a name="line.69"></a>
<FONT color="green">070</FONT>         * Build a vector from another one and a scale factor.<a name="line.70"></a>
<FONT color="green">071</FONT>         * The vector built will be a * u<a name="line.71"></a>
<FONT color="green">072</FONT>         * @param a scale factor<a name="line.72"></a>
<FONT color="green">073</FONT>         * @param u base (unscaled) vector<a name="line.73"></a>
<FONT color="green">074</FONT>         */<a name="line.74"></a>
<FONT color="green">075</FONT>        public Vector1D(double a, Vector1D u) {<a name="line.75"></a>
<FONT color="green">076</FONT>            this.x = a * u.x;<a name="line.76"></a>
<FONT color="green">077</FONT>        }<a name="line.77"></a>
<FONT color="green">078</FONT>    <a name="line.78"></a>
<FONT color="green">079</FONT>        /** Linear constructor<a name="line.79"></a>
<FONT color="green">080</FONT>         * Build a vector from two other ones and corresponding scale factors.<a name="line.80"></a>
<FONT color="green">081</FONT>         * The vector built will be a1 * u1 + a2 * u2<a name="line.81"></a>
<FONT color="green">082</FONT>         * @param a1 first scale factor<a name="line.82"></a>
<FONT color="green">083</FONT>         * @param u1 first base (unscaled) vector<a name="line.83"></a>
<FONT color="green">084</FONT>         * @param a2 second scale factor<a name="line.84"></a>
<FONT color="green">085</FONT>         * @param u2 second base (unscaled) vector<a name="line.85"></a>
<FONT color="green">086</FONT>         */<a name="line.86"></a>
<FONT color="green">087</FONT>        public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2) {<a name="line.87"></a>
<FONT color="green">088</FONT>            this.x = a1 * u1.x + a2 * u2.x;<a name="line.88"></a>
<FONT color="green">089</FONT>        }<a name="line.89"></a>
<FONT color="green">090</FONT>    <a name="line.90"></a>
<FONT color="green">091</FONT>        /** Linear constructor<a name="line.91"></a>
<FONT color="green">092</FONT>         * Build a vector from three other ones and corresponding scale factors.<a name="line.92"></a>
<FONT color="green">093</FONT>         * The vector built will be a1 * u1 + a2 * u2 + a3 * u3<a name="line.93"></a>
<FONT color="green">094</FONT>         * @param a1 first scale factor<a name="line.94"></a>
<FONT color="green">095</FONT>         * @param u1 first base (unscaled) vector<a name="line.95"></a>
<FONT color="green">096</FONT>         * @param a2 second scale factor<a name="line.96"></a>
<FONT color="green">097</FONT>         * @param u2 second base (unscaled) vector<a name="line.97"></a>
<FONT color="green">098</FONT>         * @param a3 third scale factor<a name="line.98"></a>
<FONT color="green">099</FONT>         * @param u3 third base (unscaled) vector<a name="line.99"></a>
<FONT color="green">100</FONT>         */<a name="line.100"></a>
<FONT color="green">101</FONT>        public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2,<a name="line.101"></a>
<FONT color="green">102</FONT>                       double a3, Vector1D u3) {<a name="line.102"></a>
<FONT color="green">103</FONT>            this.x = a1 * u1.x + a2 * u2.x + a3 * u3.x;<a name="line.103"></a>
<FONT color="green">104</FONT>        }<a name="line.104"></a>
<FONT color="green">105</FONT>    <a name="line.105"></a>
<FONT color="green">106</FONT>        /** Linear constructor<a name="line.106"></a>
<FONT color="green">107</FONT>         * Build a vector from four other ones and corresponding scale factors.<a name="line.107"></a>
<FONT color="green">108</FONT>         * The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4<a name="line.108"></a>
<FONT color="green">109</FONT>         * @param a1 first scale factor<a name="line.109"></a>
<FONT color="green">110</FONT>         * @param u1 first base (unscaled) vector<a name="line.110"></a>
<FONT color="green">111</FONT>         * @param a2 second scale factor<a name="line.111"></a>
<FONT color="green">112</FONT>         * @param u2 second base (unscaled) vector<a name="line.112"></a>
<FONT color="green">113</FONT>         * @param a3 third scale factor<a name="line.113"></a>
<FONT color="green">114</FONT>         * @param u3 third base (unscaled) vector<a name="line.114"></a>
<FONT color="green">115</FONT>         * @param a4 fourth scale factor<a name="line.115"></a>
<FONT color="green">116</FONT>         * @param u4 fourth base (unscaled) vector<a name="line.116"></a>
<FONT color="green">117</FONT>         */<a name="line.117"></a>
<FONT color="green">118</FONT>        public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2,<a name="line.118"></a>
<FONT color="green">119</FONT>                       double a3, Vector1D u3, double a4, Vector1D u4) {<a name="line.119"></a>
<FONT color="green">120</FONT>            this.x = a1 * u1.x + a2 * u2.x + a3 * u3.x + a4 * u4.x;<a name="line.120"></a>
<FONT color="green">121</FONT>        }<a name="line.121"></a>
<FONT color="green">122</FONT>    <a name="line.122"></a>
<FONT color="green">123</FONT>        /** Get the abscissa of the vector.<a name="line.123"></a>
<FONT color="green">124</FONT>         * @return abscissa of the vector<a name="line.124"></a>
<FONT color="green">125</FONT>         * @see #Vector1D(double)<a name="line.125"></a>
<FONT color="green">126</FONT>         */<a name="line.126"></a>
<FONT color="green">127</FONT>        public double getX() {<a name="line.127"></a>
<FONT color="green">128</FONT>            return x;<a name="line.128"></a>
<FONT color="green">129</FONT>        }<a name="line.129"></a>
<FONT color="green">130</FONT>    <a name="line.130"></a>
<FONT color="green">131</FONT>        /** {@inheritDoc} */<a name="line.131"></a>
<FONT color="green">132</FONT>        public Space getSpace() {<a name="line.132"></a>
<FONT color="green">133</FONT>            return Euclidean1D.getInstance();<a name="line.133"></a>
<FONT color="green">134</FONT>        }<a name="line.134"></a>
<FONT color="green">135</FONT>    <a name="line.135"></a>
<FONT color="green">136</FONT>        /** {@inheritDoc} */<a name="line.136"></a>
<FONT color="green">137</FONT>        public Vector1D getZero() {<a name="line.137"></a>
<FONT color="green">138</FONT>            return ZERO;<a name="line.138"></a>
<FONT color="green">139</FONT>        }<a name="line.139"></a>
<FONT color="green">140</FONT>    <a name="line.140"></a>
<FONT color="green">141</FONT>        /** {@inheritDoc} */<a name="line.141"></a>
<FONT color="green">142</FONT>        public double getNorm1() {<a name="line.142"></a>
<FONT color="green">143</FONT>            return FastMath.abs(x);<a name="line.143"></a>
<FONT color="green">144</FONT>        }<a name="line.144"></a>
<FONT color="green">145</FONT>    <a name="line.145"></a>
<FONT color="green">146</FONT>        /** {@inheritDoc} */<a name="line.146"></a>
<FONT color="green">147</FONT>        public double getNorm() {<a name="line.147"></a>
<FONT color="green">148</FONT>            return FastMath.abs(x);<a name="line.148"></a>
<FONT color="green">149</FONT>        }<a name="line.149"></a>
<FONT color="green">150</FONT>    <a name="line.150"></a>
<FONT color="green">151</FONT>        /** {@inheritDoc} */<a name="line.151"></a>
<FONT color="green">152</FONT>        public double getNormSq() {<a name="line.152"></a>
<FONT color="green">153</FONT>            return x * x;<a name="line.153"></a>
<FONT color="green">154</FONT>        }<a name="line.154"></a>
<FONT color="green">155</FONT>    <a name="line.155"></a>
<FONT color="green">156</FONT>        /** {@inheritDoc} */<a name="line.156"></a>
<FONT color="green">157</FONT>        public double getNormInf() {<a name="line.157"></a>
<FONT color="green">158</FONT>            return FastMath.abs(x);<a name="line.158"></a>
<FONT color="green">159</FONT>        }<a name="line.159"></a>
<FONT color="green">160</FONT>    <a name="line.160"></a>
<FONT color="green">161</FONT>        /** {@inheritDoc} */<a name="line.161"></a>
<FONT color="green">162</FONT>        public Vector1D add(Vector&lt;Euclidean1D&gt; v) {<a name="line.162"></a>
<FONT color="green">163</FONT>            Vector1D v1 = (Vector1D) v;<a name="line.163"></a>
<FONT color="green">164</FONT>            return new Vector1D(x + v1.getX());<a name="line.164"></a>
<FONT color="green">165</FONT>        }<a name="line.165"></a>
<FONT color="green">166</FONT>    <a name="line.166"></a>
<FONT color="green">167</FONT>        /** {@inheritDoc} */<a name="line.167"></a>
<FONT color="green">168</FONT>        public Vector1D add(double factor, Vector&lt;Euclidean1D&gt; v) {<a name="line.168"></a>
<FONT color="green">169</FONT>            Vector1D v1 = (Vector1D) v;<a name="line.169"></a>
<FONT color="green">170</FONT>            return new Vector1D(x + factor * v1.getX());<a name="line.170"></a>
<FONT color="green">171</FONT>        }<a name="line.171"></a>
<FONT color="green">172</FONT>    <a name="line.172"></a>
<FONT color="green">173</FONT>        /** {@inheritDoc} */<a name="line.173"></a>
<FONT color="green">174</FONT>        public Vector1D subtract(Vector&lt;Euclidean1D&gt; p) {<a name="line.174"></a>
<FONT color="green">175</FONT>            Vector1D p3 = (Vector1D) p;<a name="line.175"></a>
<FONT color="green">176</FONT>            return new Vector1D(x - p3.x);<a name="line.176"></a>
<FONT color="green">177</FONT>        }<a name="line.177"></a>
<FONT color="green">178</FONT>    <a name="line.178"></a>
<FONT color="green">179</FONT>        /** {@inheritDoc} */<a name="line.179"></a>
<FONT color="green">180</FONT>        public Vector1D subtract(double factor, Vector&lt;Euclidean1D&gt; v) {<a name="line.180"></a>
<FONT color="green">181</FONT>            Vector1D v1 = (Vector1D) v;<a name="line.181"></a>
<FONT color="green">182</FONT>            return new Vector1D(x - factor * v1.getX());<a name="line.182"></a>
<FONT color="green">183</FONT>        }<a name="line.183"></a>
<FONT color="green">184</FONT>    <a name="line.184"></a>
<FONT color="green">185</FONT>        /** {@inheritDoc} */<a name="line.185"></a>
<FONT color="green">186</FONT>        public Vector1D normalize() throws MathArithmeticException {<a name="line.186"></a>
<FONT color="green">187</FONT>            double s = getNorm();<a name="line.187"></a>
<FONT color="green">188</FONT>            if (s == 0) {<a name="line.188"></a>
<FONT color="green">189</FONT>                throw new MathArithmeticException(LocalizedFormats.CANNOT_NORMALIZE_A_ZERO_NORM_VECTOR);<a name="line.189"></a>
<FONT color="green">190</FONT>            }<a name="line.190"></a>
<FONT color="green">191</FONT>            return scalarMultiply(1 / s);<a name="line.191"></a>
<FONT color="green">192</FONT>        }<a name="line.192"></a>
<FONT color="green">193</FONT>        /** {@inheritDoc} */<a name="line.193"></a>
<FONT color="green">194</FONT>        public Vector1D negate() {<a name="line.194"></a>
<FONT color="green">195</FONT>            return new Vector1D(-x);<a name="line.195"></a>
<FONT color="green">196</FONT>        }<a name="line.196"></a>
<FONT color="green">197</FONT>    <a name="line.197"></a>
<FONT color="green">198</FONT>        /** {@inheritDoc} */<a name="line.198"></a>
<FONT color="green">199</FONT>        public Vector1D scalarMultiply(double a) {<a name="line.199"></a>
<FONT color="green">200</FONT>            return new Vector1D(a * x);<a name="line.200"></a>
<FONT color="green">201</FONT>        }<a name="line.201"></a>
<FONT color="green">202</FONT>    <a name="line.202"></a>
<FONT color="green">203</FONT>        /** {@inheritDoc} */<a name="line.203"></a>
<FONT color="green">204</FONT>        public boolean isNaN() {<a name="line.204"></a>
<FONT color="green">205</FONT>            return Double.isNaN(x);<a name="line.205"></a>
<FONT color="green">206</FONT>        }<a name="line.206"></a>
<FONT color="green">207</FONT>    <a name="line.207"></a>
<FONT color="green">208</FONT>        /** {@inheritDoc} */<a name="line.208"></a>
<FONT color="green">209</FONT>        public boolean isInfinite() {<a name="line.209"></a>
<FONT color="green">210</FONT>            return !isNaN() &amp;&amp; Double.isInfinite(x);<a name="line.210"></a>
<FONT color="green">211</FONT>        }<a name="line.211"></a>
<FONT color="green">212</FONT>    <a name="line.212"></a>
<FONT color="green">213</FONT>        /** {@inheritDoc} */<a name="line.213"></a>
<FONT color="green">214</FONT>        public double distance1(Vector&lt;Euclidean1D&gt; p) {<a name="line.214"></a>
<FONT color="green">215</FONT>            Vector1D p3 = (Vector1D) p;<a name="line.215"></a>
<FONT color="green">216</FONT>            final double dx = FastMath.abs(p3.x - x);<a name="line.216"></a>
<FONT color="green">217</FONT>            return dx;<a name="line.217"></a>
<FONT color="green">218</FONT>        }<a name="line.218"></a>
<FONT color="green">219</FONT>    <a name="line.219"></a>
<FONT color="green">220</FONT>        /** {@inheritDoc} */<a name="line.220"></a>
<FONT color="green">221</FONT>        public double distance(Vector&lt;Euclidean1D&gt; p) {<a name="line.221"></a>
<FONT color="green">222</FONT>            Vector1D p3 = (Vector1D) p;<a name="line.222"></a>
<FONT color="green">223</FONT>            final double dx = p3.x - x;<a name="line.223"></a>
<FONT color="green">224</FONT>            return FastMath.abs(dx);<a name="line.224"></a>
<FONT color="green">225</FONT>        }<a name="line.225"></a>
<FONT color="green">226</FONT>    <a name="line.226"></a>
<FONT color="green">227</FONT>        /** {@inheritDoc} */<a name="line.227"></a>
<FONT color="green">228</FONT>        public double distanceInf(Vector&lt;Euclidean1D&gt; p) {<a name="line.228"></a>
<FONT color="green">229</FONT>            Vector1D p3 = (Vector1D) p;<a name="line.229"></a>
<FONT color="green">230</FONT>            final double dx = FastMath.abs(p3.x - x);<a name="line.230"></a>
<FONT color="green">231</FONT>            return dx;<a name="line.231"></a>
<FONT color="green">232</FONT>        }<a name="line.232"></a>
<FONT color="green">233</FONT>    <a name="line.233"></a>
<FONT color="green">234</FONT>        /** {@inheritDoc} */<a name="line.234"></a>
<FONT color="green">235</FONT>        public double distanceSq(Vector&lt;Euclidean1D&gt; p) {<a name="line.235"></a>
<FONT color="green">236</FONT>            Vector1D p3 = (Vector1D) p;<a name="line.236"></a>
<FONT color="green">237</FONT>            final double dx = p3.x - x;<a name="line.237"></a>
<FONT color="green">238</FONT>            return dx * dx;<a name="line.238"></a>
<FONT color="green">239</FONT>        }<a name="line.239"></a>
<FONT color="green">240</FONT>    <a name="line.240"></a>
<FONT color="green">241</FONT>        /** {@inheritDoc} */<a name="line.241"></a>
<FONT color="green">242</FONT>        public double dotProduct(final Vector&lt;Euclidean1D&gt; v) {<a name="line.242"></a>
<FONT color="green">243</FONT>            final Vector1D v1 = (Vector1D) v;<a name="line.243"></a>
<FONT color="green">244</FONT>            return x * v1.x;<a name="line.244"></a>
<FONT color="green">245</FONT>        }<a name="line.245"></a>
<FONT color="green">246</FONT>    <a name="line.246"></a>
<FONT color="green">247</FONT>        /** Compute the distance between two vectors according to the L&lt;sub&gt;2&lt;/sub&gt; norm.<a name="line.247"></a>
<FONT color="green">248</FONT>         * &lt;p&gt;Calling this method is equivalent to calling:<a name="line.248"></a>
<FONT color="green">249</FONT>         * &lt;code&gt;p1.subtract(p2).getNorm()&lt;/code&gt; except that no intermediate<a name="line.249"></a>
<FONT color="green">250</FONT>         * vector is built&lt;/p&gt;<a name="line.250"></a>
<FONT color="green">251</FONT>         * @param p1 first vector<a name="line.251"></a>
<FONT color="green">252</FONT>         * @param p2 second vector<a name="line.252"></a>
<FONT color="green">253</FONT>         * @return the distance between p1 and p2 according to the L&lt;sub&gt;2&lt;/sub&gt; norm<a name="line.253"></a>
<FONT color="green">254</FONT>         */<a name="line.254"></a>
<FONT color="green">255</FONT>        public static double distance(Vector1D p1, Vector1D p2) {<a name="line.255"></a>
<FONT color="green">256</FONT>            return p1.distance(p2);<a name="line.256"></a>
<FONT color="green">257</FONT>        }<a name="line.257"></a>
<FONT color="green">258</FONT>    <a name="line.258"></a>
<FONT color="green">259</FONT>        /** Compute the distance between two vectors according to the L&lt;sub&gt;&amp;infin;&lt;/sub&gt; norm.<a name="line.259"></a>
<FONT color="green">260</FONT>         * &lt;p&gt;Calling this method is equivalent to calling:<a name="line.260"></a>
<FONT color="green">261</FONT>         * &lt;code&gt;p1.subtract(p2).getNormInf()&lt;/code&gt; except that no intermediate<a name="line.261"></a>
<FONT color="green">262</FONT>         * vector is built&lt;/p&gt;<a name="line.262"></a>
<FONT color="green">263</FONT>         * @param p1 first vector<a name="line.263"></a>
<FONT color="green">264</FONT>         * @param p2 second vector<a name="line.264"></a>
<FONT color="green">265</FONT>         * @return the distance between p1 and p2 according to the L&lt;sub&gt;&amp;infin;&lt;/sub&gt; norm<a name="line.265"></a>
<FONT color="green">266</FONT>         */<a name="line.266"></a>
<FONT color="green">267</FONT>        public static double distanceInf(Vector1D p1, Vector1D p2) {<a name="line.267"></a>
<FONT color="green">268</FONT>            return p1.distanceInf(p2);<a name="line.268"></a>
<FONT color="green">269</FONT>        }<a name="line.269"></a>
<FONT color="green">270</FONT>    <a name="line.270"></a>
<FONT color="green">271</FONT>        /** Compute the square of the distance between two vectors.<a name="line.271"></a>
<FONT color="green">272</FONT>         * &lt;p&gt;Calling this method is equivalent to calling:<a name="line.272"></a>
<FONT color="green">273</FONT>         * &lt;code&gt;p1.subtract(p2).getNormSq()&lt;/code&gt; except that no intermediate<a name="line.273"></a>
<FONT color="green">274</FONT>         * vector is built&lt;/p&gt;<a name="line.274"></a>
<FONT color="green">275</FONT>         * @param p1 first vector<a name="line.275"></a>
<FONT color="green">276</FONT>         * @param p2 second vector<a name="line.276"></a>
<FONT color="green">277</FONT>         * @return the square of the distance between p1 and p2<a name="line.277"></a>
<FONT color="green">278</FONT>         */<a name="line.278"></a>
<FONT color="green">279</FONT>        public static double distanceSq(Vector1D p1, Vector1D p2) {<a name="line.279"></a>
<FONT color="green">280</FONT>            return p1.distanceSq(p2);<a name="line.280"></a>
<FONT color="green">281</FONT>        }<a name="line.281"></a>
<FONT color="green">282</FONT>    <a name="line.282"></a>
<FONT color="green">283</FONT>        /**<a name="line.283"></a>
<FONT color="green">284</FONT>         * Test for the equality of two 1D vectors.<a name="line.284"></a>
<FONT color="green">285</FONT>         * &lt;p&gt;<a name="line.285"></a>
<FONT color="green">286</FONT>         * If all coordinates of two 1D vectors are exactly the same, and none are<a name="line.286"></a>
<FONT color="green">287</FONT>         * &lt;code&gt;Double.NaN&lt;/code&gt;, the two 1D vectors are considered to be equal.<a name="line.287"></a>
<FONT color="green">288</FONT>         * &lt;/p&gt;<a name="line.288"></a>
<FONT color="green">289</FONT>         * &lt;p&gt;<a name="line.289"></a>
<FONT color="green">290</FONT>         * &lt;code&gt;NaN&lt;/code&gt; coordinates are considered to affect globally the vector<a name="line.290"></a>
<FONT color="green">291</FONT>         * and be equals to each other - i.e, if either (or all) coordinates of the<a name="line.291"></a>
<FONT color="green">292</FONT>         * 1D vector are equal to &lt;code&gt;Double.NaN&lt;/code&gt;, the 1D vector is equal to<a name="line.292"></a>
<FONT color="green">293</FONT>         * {@link #NaN}.<a name="line.293"></a>
<FONT color="green">294</FONT>         * &lt;/p&gt;<a name="line.294"></a>
<FONT color="green">295</FONT>         *<a name="line.295"></a>
<FONT color="green">296</FONT>         * @param other Object to test for equality to this<a name="line.296"></a>
<FONT color="green">297</FONT>         * @return true if two 1D vector objects are equal, false if<a name="line.297"></a>
<FONT color="green">298</FONT>         *         object is null, not an instance of Vector1D, or<a name="line.298"></a>
<FONT color="green">299</FONT>         *         not equal to this Vector1D instance<a name="line.299"></a>
<FONT color="green">300</FONT>         *<a name="line.300"></a>
<FONT color="green">301</FONT>         */<a name="line.301"></a>
<FONT color="green">302</FONT>        @Override<a name="line.302"></a>
<FONT color="green">303</FONT>        public boolean equals(Object other) {<a name="line.303"></a>
<FONT color="green">304</FONT>    <a name="line.304"></a>
<FONT color="green">305</FONT>            if (this == other) {<a name="line.305"></a>
<FONT color="green">306</FONT>                return true;<a name="line.306"></a>
<FONT color="green">307</FONT>            }<a name="line.307"></a>
<FONT color="green">308</FONT>    <a name="line.308"></a>
<FONT color="green">309</FONT>            if (other instanceof Vector1D) {<a name="line.309"></a>
<FONT color="green">310</FONT>                final Vector1D rhs = (Vector1D)other;<a name="line.310"></a>
<FONT color="green">311</FONT>                if (rhs.isNaN()) {<a name="line.311"></a>
<FONT color="green">312</FONT>                    return this.isNaN();<a name="line.312"></a>
<FONT color="green">313</FONT>                }<a name="line.313"></a>
<FONT color="green">314</FONT>    <a name="line.314"></a>
<FONT color="green">315</FONT>                return x == rhs.x;<a name="line.315"></a>
<FONT color="green">316</FONT>            }<a name="line.316"></a>
<FONT color="green">317</FONT>            return false;<a name="line.317"></a>
<FONT color="green">318</FONT>        }<a name="line.318"></a>
<FONT color="green">319</FONT>    <a name="line.319"></a>
<FONT color="green">320</FONT>        /**<a name="line.320"></a>
<FONT color="green">321</FONT>         * Get a hashCode for the 1D vector.<a name="line.321"></a>
<FONT color="green">322</FONT>         * &lt;p&gt;<a name="line.322"></a>
<FONT color="green">323</FONT>         * All NaN values have the same hash code.&lt;/p&gt;<a name="line.323"></a>
<FONT color="green">324</FONT>         *<a name="line.324"></a>
<FONT color="green">325</FONT>         * @return a hash code value for this object<a name="line.325"></a>
<FONT color="green">326</FONT>         */<a name="line.326"></a>
<FONT color="green">327</FONT>        @Override<a name="line.327"></a>
<FONT color="green">328</FONT>        public int hashCode() {<a name="line.328"></a>
<FONT color="green">329</FONT>            if (isNaN()) {<a name="line.329"></a>
<FONT color="green">330</FONT>                return 7785;<a name="line.330"></a>
<FONT color="green">331</FONT>            }<a name="line.331"></a>
<FONT color="green">332</FONT>            return 997 * MathUtils.hash(x);<a name="line.332"></a>
<FONT color="green">333</FONT>        }<a name="line.333"></a>
<FONT color="green">334</FONT>    <a name="line.334"></a>
<FONT color="green">335</FONT>        /** Get a string representation of this vector.<a name="line.335"></a>
<FONT color="green">336</FONT>         * @return a string representation of this vector<a name="line.336"></a>
<FONT color="green">337</FONT>         */<a name="line.337"></a>
<FONT color="green">338</FONT>        @Override<a name="line.338"></a>
<FONT color="green">339</FONT>        public String toString() {<a name="line.339"></a>
<FONT color="green">340</FONT>            return Vector1DFormat.getInstance().format(this);<a name="line.340"></a>
<FONT color="green">341</FONT>        }<a name="line.341"></a>
<FONT color="green">342</FONT>    <a name="line.342"></a>
<FONT color="green">343</FONT>        /** {@inheritDoc} */<a name="line.343"></a>
<FONT color="green">344</FONT>        public String toString(final NumberFormat format) {<a name="line.344"></a>
<FONT color="green">345</FONT>            return new Vector1DFormat(format).format(this);<a name="line.345"></a>
<FONT color="green">346</FONT>        }<a name="line.346"></a>
<FONT color="green">347</FONT>    <a name="line.347"></a>
<FONT color="green">348</FONT>    }<a name="line.348"></a>




























































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